. Beams fixed at one End.
443
Case II), it will be found that the total ordinates under p q vary
as the square of their distance from q, proving that k q l^ is a
continuous parabola.
The Shearing Force at A consists of
W
•289 W+ -2ii W=— and at c= -289 W
and the diagram is a straight line. (See Appendix //., p. 848.)
VIII. Beam fixed at one end, supported at the other, and loaded
by its own weight (Fig. 401). — This case may be deduced from the
first figure on p. 850, and the point of contra-flexure is -25 / from
A and 75 / from J. Bending Moment
At E = (-jr- J generally =
At ag^ -375 W x -25 / =
•25 W x -25 /
•0937 W/
"0312 W/
Shearing Force at A=:^ ^ 4-^ ^=8 -625 W, and at 1 = ^1^1
= -375 W, The curves will be found continuous in both
diagrams. (See Appendix //.,/. 852.)
Combination Diagrams are shewn in Fig. 402 based on cases
already discussed. The final shaded; areas Bfand Sf are found
H H
I'